Question

Hello! I need some assistance with this homework question for precalculus, please?HW Q13

Answer 1

3

Explanation:

We have the following equation:

`\left((3)/(2)\right)^x=\left((27)/(8)\right)`

We solve for x:

`\begin{gathered} \left((3)/(2)\right)^x=\left((3^3)/(2^3)\right) \\ \:\left((3)/(2)\right)^x=\left((3)/(2)\right)^3 \\ \text{ Having the same base, we establish the following:} \\ x=3 \end{gathered}`

The solution set is 3